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Renormalization group flow of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity
We use the functional renormalization group equation for quantum gravity to construct a nonperturbative flow equation for modified gravity theories of the form $S=\ensuremath{\int}{d}^{d}x\sqrt{g}f(R)$. Based on this equation we show that certain gravitational interaction monomials can be consistently decoupled from the renormalization group (RG) flow and reproduce recent results on …